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On LP-orientations of cubes and crosspolytopes

Mike Develin
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Abstract

We show that the Holt-Klee conditions are very insufficient for an orientation of the graph of a polytope to be an LP-orientation in the case of the n-cube. We also give a strengthening of the Holt-Klee conditions which is both necessary and sufficient in the case of the crosspolytope.

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Mike Develin. 2002-11-05. On LP-orientations of cubes and crosspolytopes. https://arxiv.org/abs/math/0211073

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